M. Caputo

most citedOn the evolution of convex hypersurfaces by the

Q_{k}

flow

1 citations · 2 across the 3 of their papers we have counts for

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math.AP2009★ 1 cited

On the evolution of convex hypersurfaces by the $Q_{k}$ flow

M. Cristina Caputo, Panagiota Daskalopoulos, Natasa Sesum

We prove the existence and uniqueness of a $C^{1, 1}$ solution of the $Q_{k}$ flow in the viscosity sense for compact convex hypersurfaces $Σ_{t}$ embedded in $R^{n + 1}$ ( $n \geq 2$ ) . I…

math.AP2009

Global regularity of solutions to systems of reaction-diffusion with Sub-Quadratic Growth in any dimension

M. Cristina Caputo, Alexis Vasseur

This paper is devoted to the study of the regularity of solutions to some systems of reaction--diffusion equations, with reaction terms having a subquadratic growth. We show the gl…

math.AP2008★ 1 cited

Highly Degenerate Harmonic Mean Curvature Flow

M. Cristina Caputo, Panagiota Daskalopoulos

We study the evolution of a weakly convex surface $Σ_{0}$ in $R^{3}$ with flat sides by the Harmonic Mean Curvature flow. We establish the short time existence as well as the optimal…

On the evolution of convex hypersurfaces by the Qk​ flow

Global regularity of solutions to systems of reaction-diffusion with Sub-Quadratic Growth in any dimension

Highly Degenerate Harmonic Mean Curvature Flow

On the evolution of convex hypersurfaces by the $Q_{k}$ flow